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Finding the Fourth Proportional to 9,147, 13,713.30 and 4,765.08

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Solution

The fourth proportional to 9,147, 13,713.30 and 4,765.08 is: 7,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 13,713.30 = 4,765.08 : x
  2. Step 2: Convert to fraction form
    9,147/13,713.30 = 4,765.08/x
  3. Step 3: Cross multiply
    9,147x = 13,713.30 × 4,765.08
  4. Step 4: Simplify right side
    9,147x = 65,344,971.56
  5. Step 5: Solve for x
    x = 65,344,971.56/9,147
  6. Step 6: Final answer
    x = 7,143.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.